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Finding the Third Proportional to 487,311 and 730,966.50

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Solution

The third proportional to 487,311 and 730,966.50 is: 1,096,449.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,311 : 730,966.50 = 730,966.50 : x
  2. Step 2: Convert to fraction form
    487,311/730,966.50 = 730,966.50/x
  3. Step 3: Cross multiply
    487,311x = 730,966.50 × 730,966.50
  4. Step 4: Simplify right side
    487,311x = 534,312,024,122.25
  5. Step 5: Solve for x
    x = 534,312,024,122.25/487,311
  6. Step 6: Final answer
    x = 1,096,449.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.